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Finding the Fourth Proportional to 4,732.32, 7,094.16 and 2,133.84

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Solution

The fourth proportional to 4,732.32, 7,094.16 and 2,133.84 is: 3,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.32 : 7,094.16 = 2,133.84 : x
  2. Step 2: Convert to fraction form
    4,732.32/7,094.16 = 2,133.84/x
  3. Step 3: Cross multiply
    4,732.32x = 7,094.16 × 2,133.84
  4. Step 4: Simplify right side
    4,732.32x = 15,137,802.37
  5. Step 5: Solve for x
    x = 15,137,802.37/4,732.32
  6. Step 6: Final answer
    x = 3,198.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.